Michael Somos on Fri, 29 Oct 1999 16:48:59 -0400 (EDT) |
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sqr() bug? |
GP/PARI CALCULATOR Version 2.0.17 (beta) i686 running linux (ix86 kernel) 32-bit version (readline v2.2 enabled, extended help not available) Copyright (C) 1989-1999 by C. Batut, K. Belabas, D. Bernardi, H. Cohen and M. Olivier. Type ? for help, \q to quit. Type ?12 for how to get moral (and possibly technical) support. realprecision = 28 significant digits seriesprecision = 16 significant terms format = g0.28 parisize = 4000000, primelimit = 500000 gp> ??sqr sqr(x): square of x. Not identical to x*x in the case of 2-adics, where it returns a more precise result. The library syntax is gsqr(x). gp> (5+O(2^10))^2 %1 = 1 + 2^3 + 2^4 + O(2^11) gp> sqr(5+O(2^10)) %2 = 1 + 2^3 + 2^4 + O(2^11) Perhaps I am misunderstanding the documentation. Where is the "more precise result"? The results seem identical to me for 2-adics. Shalom, Michael -- Michael Somos <somos@grail.cba.csuohio.edu> Cleveland State University http://grail.cba.csuohio.edu/~somos/ Cleveland, Ohio, USA 44115